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Beliebt Rechnen >

y^{''}+25y= 1/100 cos(5x)

Lösung

y^{^{''}} + 25 y = \frac{1}{100} cos (5 x)

Lösung

y = c_{1} cos (5 x) + c_{2} sin (5 x) + \frac{x sin ( 5 x )}{1000}

Schritte zur Lösung

y^{''} (x) + 25 y = \frac{1}{100} cos (5 x)

Solve linear ODE:

y = c_{1} cos (5 x) + c_{2} sin (5 x) + \frac{x sin ( 5 x )}{1000}

y = c_{1} cos (5 x) + c_{2} sin (5 x) + \frac{x sin ( 5 x )}{1000}

Graph

Beliebte Beispiele

y^{''}+y^'-2y=3e^x

y^{^{''}} + y^{^{'}} - 2 y = 3 e^{x}

(d^2x)/(dt^2)-6(dx)/(dt)-7x=6

\frac{d ^{2} x}{d t ^{2}} - 6 \frac{d x}{d t} - 7 x = 6

1/6 y^{''}+6y=2tan(6t)-1/3 e^t

\frac{1}{6} y^{^{''}} + 6 y = 2 tan (6 t) - \frac{1}{3} e^{t}

y^{''}-y^'-2y=e^xcos(x)

y^{^{''}} - y^{^{'}} - 2 y = e^{x} cos (x)

y^{''}+4y= t/2-(tcos(2t))/2

y^{^{''}} + 4 y = \frac{t}{2} - \frac{t cos ( 2 t )}{2}